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Finding the Fourth Proportional to 388.96, 583.62 and 215.76

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Solution

The fourth proportional to 388.96, 583.62 and 215.76 is: 323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.96 : 583.62 = 215.76 : x
  2. Step 2: Convert to fraction form
    388.96/583.62 = 215.76/x
  3. Step 3: Cross multiply
    388.96x = 583.62 × 215.76
  4. Step 4: Simplify right side
    388.96x = 125,921.85
  5. Step 5: Solve for x
    x = 125,921.85/388.96
  6. Step 6: Final answer
    x = 323.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.